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If a one-pound pack of wall putty costs $3 and …

Mathematics Questions

A one-pound pack of wall putty costs $3. A 10-pound pack costs $24. What is the percent savings If you buy the 10-pound pack? 2096 24% 25% 60%

Short Answer

The total cost for 10 one-pound packs of wall putty is $30, while a ten-pound pack costs $24, resulting in savings of $6. This translates to a percentage savings of 20% when comparing the more expensive option’s cost.

Step-by-Step Solution

Calculate Total Cost

First, determine the total cost of purchasing multiple one-pound packs of wall putty. If each one-pound pack costs $3, then for 10 packs, you will calculate:

  • Price for one pound pack: $3
  • Quantity: 10
  • Total cost = 3 * 10 = $30

Determine Savings

Next, compare the cost of buying one large ten-pound pack to the total cost of the smaller packs. The ten-pound pack is priced at $24. To find the savings:

  • Total cost of one-pound packs: $30
  • Cost of one ten-pound pack: $24
  • Savings = $30 – $24 = $6

Calculate Percent Savings

Finally, calculate the percentage savings based on the money saved and the cost of the more expensive option. You will divide the savings by the cost of the ten one-pound packs:

  • Amount saved: $6
  • More expensive option cost: $30
  • Percent savings = $6 / $30 = 0.2 (or 20%)

Related Concepts

Total Cost

The total amount spent on purchasing a certain quantity of products, calculated by multiplying the price of a single unit by the number of units purchased.

Savings

The amount of money saved by choosing a less expensive option compared to a more costly alternative, calculated by subtracting the lower price from the higher price.

Percent Savings

A way to express the amount saved as a percentage of the total cost of the more expensive option, calculated by dividing the amount saved by that total cost and often multiplying by 100 to obtain a percentage.